Reliability of Dynamic Multi-State Fuzzy Systems

This thesis has three main objectives:
The first objective is to study reliability theory of multi-state systems, as well as, some of its basic properties and theoretical results. The second objective is to study the reliability of dynamic multi-state
system in which the dynamic reliability indices are used to estimate the influence upon the multi-state system reliability. A practical application of the dynamic multi-state system is given, which is the oil supply system from an oil source to three station through several oil pipelines, say four. This application have not been modeled previously as a dynamic multi-state system.  The third objective is to introduce and study dynamic fuzzy reliability of fuzzy state probability and performance rate of fuzzy multi-state system that can be evaluated through aggregating the fuzzy behavior of fuzzy multistate system.